Question

F:(0,+∞)→R,F(x)=x+2lnx+2015

Answer 1

Fie F o primitiva a lui f daca:

F derivabila pe (0 infinit) (adevarat)

F`(x)=f(x)

$F`(x)=(x+2lnx+2015)`=1+2* \frac{1}{x}=1+ \frac{2}{x}= \frac{x+2}{x} =f(x)$